thanks for pointing this out. But in this case the solution should be $r_{13}, r_{21}, r_{32}= \lambda I's$ not $r_{ij}= \lambda I$ for all $i,j$. Also what will happen in the case when say $r_{21},r_{32} < 0$.
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J VermaOct 17 '11 at 18:09

Yes indeed. But you need to understand that Prof. Moore is almost the most rigorous person as far as string theorists are concerned. You need to learn to relax and read what the authors meant behind what is in fact written. (Un)fortunately, string theory is not math.
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YujiOct 17 '11 at 18:12

Also, the discussions of scaling solutions in the paper by Denef-Moore did not satisfy everyone (including you). This led to a few related papers, e.g. arxiv.org/abs/0807.4556 . So, when you have a very specific question in a paper, you shouldn't just ask it here... You need to think about it yourself, and then write a paper about it.
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YujiOct 17 '11 at 18:19

Thanks for reply. Well I'm aware of prof. Moore's and also of other string theorist's mathematical acumen and that's one of the reasons why I read their papers. Sometimes, I get confused, and that's because of my ignorance and things I don't pay attention to. Thanks for pointing that out.
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J VermaOct 17 '11 at 18:22